Cogalois theory for field extensions

Akira MASUOKA

doi:10.2969/jmsj/04140577

Akira MASUOKA

著者情報

ジャーナルフリー

1989 年 41 巻 4 号 p. 577-592

DOI https://doi.org/10.2969/jmsj/04140577

詳細

Published: 1989 Received: 1988/03/16 Available on J-STAGE: 2006/10/20 Accepted: - Advance online publication: - Revised: -
訂正情報
訂正日: 2006/10/20 訂正理由: - 訂正箇所: 引用文献情報訂正内容: Wrong : 0) C. Greither and D.K. Harrison, A Galois correspondence for radical extensions of fields, J. Pure Appl. Algebra, 43 (1986), 257-270.
1) P. M. Cohn, Algebra, vol. 2, John Wiley, London-New York-Sydney-Toronto, 1977.
2) H. F. Kreimer and M. Takeuchi, Hopf algebras and Galois extensions of an algebra, Indiana Univ. Math. J., 30 (1981), 675-692.
3) M. Kneser, Lineare Abhängigkeit von Wurzeln, Acta. Arith., XXVI (1975), 307-308.
4) C. Nastasescu and F. Van Oystaeyen, Graded Ring Theory, North-Holland, Amsterdam-New York-Oxford, 1982.
5) K. Newman, A correspondence between bi-ideals and sub-Hopf algebras in cocommutative Hopf algebras, J. Algebra, 36(1975), 1-15.
6) M.E. Sweedler, Hopf algebras, Benjamin, New York, 1969.
7) M.E. Sweedler, The predual theorem to the Jacobson-Bourbaki theorem, Trans. Amer. Math. Soc., 213 (1975), 391-406.
8) M. Takeuchi, A Hopf algebraic approach to the Picard-Vessoiot theory, J. Algebra, to appear.
9) M. Takeuchi, A private communication, January 1987.
10) A. Masuoka Corings and invertible bimodules, Tsukuba J. Math., to appear.

Right : [0] C. Greither and D. K. Harrison, A Galois correspondence for radical extensions of fields, J. Pure Appl. Algebra, 43 (1986), 257-270.
[1] P. M. Cohn, Algebra, vol. 2, John Wiley, London-New York-Sydney-Toronto, 1977.
[2] H. F. Kreimer and M. Takeuchi, Hopf algebras and Galois extensions of an algebra, Indiana Univ. Math. J., 30 (1981), 675-692.
[3] M. Kneser, Lineare Abhängigkeit von Wurzeln, Acta. Arith., XXVI (1975), 307-308.
[4] C. Nastasescu and F. Van Oystaeyen, Graded Ring Theory, North-Holland, Amsterdam-New York-Oxford, 1982.
[5] K. Newman, A correspondence between bi-ideals and sub-Hopf algebras in cocommutative Hopf algebras, J. Algebra, 36 (1975), 1-15.
[6] M. E. Sweedler, Hopf algebras, Benjamin, New York, 1969.
[7] M. E. Sweedler, The predual theorem to the Jacobson-Bourbaki theorem, Trans. Amer. Math. Soc., 213 (1975), 391-406.
[8] M. Takeuchi, A Hopf algebraic approach to the Picard-Vessoiot theory, J. Algebra, to appear.
[9] M. Takeuchi, A private communication, January 1987.
[10] A. Masuoka Corings and invertible bimodules, Tsukuba J. Math., to appear.

訂正日: 2006/10/20 訂正理由: - 訂正箇所: PDFファイル訂正内容: -

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